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A mass of object is 800 kg moving with velocity 54 km/ hrs collide with stable identical mass . if collision is perfectly inelastic than find :
a) velocity of particles after collision
b) kinetic energy of system after collision
c) loss of kinetic energy?
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A mass of object is 800 kg moving with velocity 54 km/ hrs collide wit...
Given data:
- Mass of object 1 (m1) = 800 kg
- Velocity of object 1 (v1) = 54 km/hr
- Mass of object 2 (m2) = 800 kg (identical to object 1)
- Velocity of object 2 (v2) = 0 km/hr (stable)

a) Velocity of particles after collision:
In a perfectly inelastic collision, the two objects stick together after the collision. The velocity of the combined mass can be calculated using the principle of conservation of momentum.
Total initial momentum = Total final momentum
(m1 * v1) + (m2 * v2) = (m1 + m2) * vf
(800 kg * 54 km/hr) + (800 kg * 0 km/hr) = (800 kg + 800 kg) * vf
43200 kg*km/hr = 1600 kg * vf
vf = 27 km/hr

b) Kinetic energy of system after collision:
The kinetic energy of the system after the collision can be calculated using the formula:
KE = 0.5 * (m1 + m2) * vf^2
KE = 0.5 * 1600 kg * (27 km/hr)^2
KE = 0.5 * 1600 kg * 729 km^2/hr^2
KE = 584400 J

c) Loss of kinetic energy:
The loss of kinetic energy can be calculated by finding the difference between the initial kinetic energy and the final kinetic energy of the system.
Initial kinetic energy = 0.5 * m1 * v1^2
Initial kinetic energy = 0.5 * 800 kg * (54 km/hr)^2
Initial kinetic energy = 0.5 * 800 kg * 2916 km^2/hr^2
Initial kinetic energy = 1166400 J
Loss of kinetic energy = Initial KE - Final KE
Loss of kinetic energy = 1166400 J - 584400 J
Loss of kinetic energy = 582000 J
Therefore, after the perfectly inelastic collision, the velocity of the combined mass is 27 km/hr, the kinetic energy of the system is 584400 J, and the loss of kinetic energy is 582000 J.
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A mass of object is 800 kg moving with velocity 54 km/ hrs collide with stable identical mass . if collision is perfectly inelastic than find : a) velocity of particles after collision b) kinetic energy of system after collision c) loss of kinetic energy?
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